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Finding the Fourth Proportional to 9,842.16, 14,758.90 and 2,820.58

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Solution

The fourth proportional to 9,842.16, 14,758.90 and 2,820.58 is: 4,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.16 : 14,758.90 = 2,820.58 : x
  2. Step 2: Convert to fraction form
    9,842.16/14,758.90 = 2,820.58/x
  3. Step 3: Cross multiply
    9,842.16x = 14,758.90 × 2,820.58
  4. Step 4: Simplify right side
    9,842.16x = 41,628,658.16
  5. Step 5: Solve for x
    x = 41,628,658.16/9,842.16
  6. Step 6: Final answer
    x = 4,229.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.